DREYFUS BASIC GNMA FUND
N-30D, 2000-03-07
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Dreyfus
BASIC GNMA Fund


ANNUAL REPORT December 31, 1999

(reg.tm)





The  views  expressed herein are current to the date of this report. These views
and  the  composition  of the fund's portfolio are subject to change at any time
based on market and other conditions.

   * Not FDIC-Insured
   * Not Bank-Guaranteed
   * May Lose Value

Year 2000 Issues (Unaudited)

The fund could be adversely affected if the computer systems used by Dreyfus and
the fund's other service providers do not properly process and calculate
date-related information from and after January 1, 2000. Dreyfus has taken steps
designed to avoid year 2000-related problems in its systems and to monitor the
readiness  of other service providers.  In addition, issuers of securities in
which the fund invests may be adversely affected by year 2000-related problems.
This could have an impact on the value of the fund's investments and its share
price.


                                 Contents

                                 THE FUND
- --------------------------------------------------

                             2   Letter from the President

                             3   Discussion of Fund Performance

                             6   Fund Performance

                             7   Statement of Investments

                            11   Statement of Financial Futures

                            12   Statement of Assets and Liabilities

                            13   Statement of Operations

                            14   Statement of Cash Flows

                            15   Statement of Changes in Net Assets

                            16   Financial Highlights

                            17   Notes to Financial Statements

                            23   Report of Independent Auditors

                            24   Important Tax Information

                                 FOR MORE INFORMATION
- ---------------------------------------------------------------------------

                                 Back Cover

                                                                       The Fund

                                                       Dreyfus  BASIC GNMA Fund

LETTER FROM THE PRESIDENT

Dear Shareholder:

We  are  pleased  to  present  this  annual  report  for Dreyfus BASIC GNMA Fund
covering  the  12-month  period from January 1, 1999, through December 31, 1999.
Inside,  you' ll find valuable information about how the fund was managed during
the  reporting  period,  including  a  discussion  with  Michael Hoeh, portfolio
manager and a member of the Dreyfus Taxable Fixed Income Team.

The  past  year  was  challenging  for  most fixed-income investors. Faster than
expected  economic  growth  in  the  U.S.  and  overseas  fueled  concerns  that
long-dormant  inflationary  pressures  might re-emerge, potentially reducing the
future  value of bonds' interest and principal payments. These concerns prompted
the  Federal  Reserve  Board  to raise key short-term interest rates three times
during  the summer and fall of 1999 in an attempt to prevent a reacceleration of
inflation.

While  U.S.  Treasury and agency securities declined sharply in this environment
during 1999, prices of higher yielding securities -- such as corporate bonds and
mortgage-backed  securities  --  fell less severely. In an environment of robust
economic  growth,  investors  appeared  more  comfortable  owning bonds that are
influenced  primarily  by credit risk, and they avoided securities that are most
affected by interest-rate risk.

We  appreciate  your  confidence over the past year, and we look forward to your
continued participation in Dreyfus BASIC GNMA Fund.

Sincerely,


Stephen E. Canter
President and Chief Investment Officer
The Dreyfus Corporation
January 14, 2000




DISCUSSION OF FUND PERFORMANCE

Michael Hoeh, Portfolio Manager  Dreyfus Taxable Fixed Income Team

How did Dreyfus BASIC GNMA Fund perform  relative to its benchmark?

For the 12-month period ended December 31, 1999, the fund produced a 2.82% total
return.(1)  In  addition, the fund provided income dividends of $0.960 per share
and  a distribution rate of 6.64%.(2) This performance exceeded the 1.93% return
provided by the fund's benchmark, the Lehman Brothers GNMA Index.(3)

We  attribute  the  fund's positive returns to our asset allocation and duration
strategies.  Our  emphasis  on  GNMA  mortgage-backed  securities  enabled us to
benefit  from  the  relative strength of the GNMA market sector. In addition, by
maintaining  the fund's average duration -- a measure of sensitivity to changing
interest  rates  --  toward the short end of its range, we successfully shielded
the fund from the corrosive effects of rising interest rates.

What is the fund's investment approach?

The  fund invests primarily in GNMA (Government National Mortgage Association or
" Ginnie  Mae" ) securities.  The fund may also invest in other mortgage-related
securities,   U.S.   Treasury  securities,  asset-backed  securities  and  other
non-agency  mortgage-backed  securities.  The  fund' s goal is to provide a high
level of current income consistent with capital preservation.

We typically use a four-step investment approach:

*    PREPAYMENT TREND ANALYSIS  measures the rate at which homeowners are likely
     to prepay their mortgages because of home sales or refinancing. An increase
     in this trend adversely affects returns of mortgage-related securities.

                                                             The Fund


DISCUSSION OF FUND PERFORMANCE (CONTINUED)

*    OPTION-ADJUSTED    SPREAD   ANALYSIS    compares   the   early   redemption
     characteristics   of  different   mortgage-backed   securities  with  other
     securities such as U.S.  Treasuries to help us measure their  vulnerability
     to early redemption.

*    CASH FLOW  STRUCTURE  ANALYSIS  helps us determine the  predictability  and
     security of cash flows provided by different bond  structures.  We evaluate
     fixed-rate versus floating-rate securities, as well as different maturities
     such as 15-, 20- and 30-year mortgages.

*    TOTAL-RATE-OF-RETURN  SCENARIOS calculate expected rates of return for each
     security relative to U.S. Treasury securities under different interest-rate
     scenarios  over a  six-month  time  frame.  This  helps us  estimate  which
     securities  are  likely  to  provide   above-average   returns  in  various
     interest-rate environments.

What other factors influenced the fund's performance?

Rising  interest  rates  created  a  headwind  against the fund throughout 1999.
Contrary to early expectations, many global economies staged impressive rebounds
as  the  year  progressed  and the U.S. economy continued to grow strongly. As a
result,  fixed-income  investors  grew  concerned that long-dormant inflationary
pressures  might  re-emerge.  In  response,  the  Federal  Reserve  Board raised
short-term  interest  rates by a total of 0.75 percentage points during 1999. At
the  same  time, strong economic growth reassured investors that a recession was
unlikely,  and  they  became  more  comfortable  holding  riskier assets such as
corporate    bonds    and    mortgage-backed    securities.

As  assets  flowed  into higher yielding bonds, they flowed out of U.S. Treasury
securities,  putting  downward  pressure  on  prices. As a result, U.S. Treasury
securities  underperformed  most  other sectors of the bond market in 1999. When
prices  of  U.S.  Treasuries  securities fell, the differences in yields between
U.S.  Treasury  securities  and  higher  yielding bonds tightened then moderated
somewhat  during  the second half of the year. We took advantage of these market
conditions  relatively  early in the year by emphasizing several different types
of  mortgage-backed  securities  and  generally  avoiding  lower  yielding  U.S.
Treasury securities.


What is the fund's current strategy?

We  continue  to  focus  on  GNMA securities, particularly those with adjustable
rates. GNMA adjustable-rate mortgage securities ranked among the best-performing
securities in the portfolio. Unlike fixed-rate securities, which tend to decline
in  price  as  interest  rates  rise,  the  income  payments  on adjustable-rate
securities  generally rise with rising interest rates. In addition, our emphasis
on  securities  that  mature  in  15  years  was  rewarded when those securities
outperformed 30-year bonds.

During  the  fourth quarter of 1999, we reduced our holdings of credit-sensitive
securities  in order to lock in profits. We redeployed those assets primarily to
GNMA  pass-through  mortgage-backed  securities  in the 15- and 30-year maturity
ranges.  We  also  increased  our  holdings  of  short-term  Treasury  Inflation
Protection  Securities in order to help protect the portfolio from a potentially
higher rate  of inflation in 2000.

Throughout  most of 1999, we maintained the fund's average duration shorter than
the duration of the fund's benchmark. This relatively defensive position enabled
us  to  avoid  the brunt of price declines in the bond market. Toward the end of
the  reporting  period, after the sell-off in U.S. Treasuries, we lengthened the
fund' s average duration back to equal the duration of the benchmark in order to
enhance the fund's yield.

January 14, 2000

     (1)  TOTAL RETURN INCLUDES  REINVESTMENT OF DIVIDENDS AND ANY CAPITAL GAINS
          PAID. PAST PERFORMANCE IS NO GUARANTEE OF FUTURE RESULTS. SHARE PRICE,
          YIELD AND INVESTMENT RETURN FLUCTUATE SUCH THAT UPON REDEMPTION,  FUND
          SHARES MAY BE WORTH MORE OR LESS THAN THEIR ORIGINAL COST.

     (2)  DISTRIBUTION  RATE PER SHARE IS BASED  UPON  DIVIDENDS  PER SHARE PAID
          FROM NET INVESTMENT INCOME DURING THE PERIOD, DIVIDED BY THE NET ASSET
          VALUE PER SHARE AT THE END OF THE PERIOD.

     (3)  SOURCE:  LEHMAN  BROTHERS  - THE  LEHMAN  BROTHERS  GNMA  INDEX  IS AN
          UNMANAGED,  TOTAL RETURN  PERFORMANCE  BENCHMARK  FOR THE GNMA MARKET,
          CONSISTING OF 15- AND 30-YEAR FIXED-RATE SECURITIES BACKED BY MORTGAGE
          POOLS OF THE GOVERNMENT NATIONAL MORTGAGE ASSOCIATION.

                                                             The Fund

FUND PERFORMANCE

Comparison of change in value of $10,000 investment in Dreyfus BASIC GNMA Fund
and the Lehman Brothers GNMA Index
- --------------------------------------------------------------------------------
<TABLE>

Average Annual Total Returns AS OF 12/31/99



                                                                               1 Year             5 Years          10 Years
- ------------------------------------------------------------------------------------------------------------------------------------
<S>                                                                             <C>                <C>              <C>

FUND                                                                            2.82%              7.59%             7.41%
</TABLE>


(+)  SOURCE: LEHMAN BROTHERS

PAST PERFORMANCE IS NOT PREDICTIVE OF FUTURE PERFORMANCE.

THE ABOVE GRAPH COMPARES A $10,000 INVESTMENT MADE IN DREYFUS BASIC GNMA FUND ON
12/31/89 TO A $10,000 INVESTMENT MADE IN THE LEHMAN BROTHERS GNMA INDEX ON THAT
DATE. ALL DIVIDENDS AND CAPITAL GAIN DISTRIBUTIONS ARE REINVESTED.

THE FUND INVESTS PRIMARILY IN GINNIE MAES AND ITS PERFORMANCE SHOWN IN THE LINE
GRAPH TAKES INTO ACCOUNT ALL APPLICABLE FEES AND EXPENSES. UNLIKE THE FUND, THE
LEHMAN BROTHERS GNMA INDEX IS AN UNMANAGED TOTAL RETURN PERFORMANCE BENCHMARK
FOR THE GNMA MARKET, CONSISTING OF 15- AND 30-YEAR FIXED-RATE GNMA SECURITIES.
ALL ISSUES HAVE AT LEAST ONE YEAR TO MATURITY AND AN OUTSTANDING PAR VALUE OF AT
LEAST $100 MILLION. THE INDEX DOES NOT TAKE INTO ACCOUNT CHARGES, FEES AND OTHER
EXPENSES. THESE FACTORS CAN CONTRIBUTE TO THE INDEX POTENTIALLY OUTPERFORMING
THE FUND. FURTHER INFORMATION RELATING TO FUND PERFORMANCE, INCLUDING EXPENSE
REIMBURSEMENTS, IF APPLICABLE, IS CONTAINED IN THE FINANCIAL HIGHLIGHTS SECTION
OF THE PROSPECTUS AND ELSEWHERE IN THIS REPORT.





STATEMENT OF INVESTMENTS

December 31, 1999

<TABLE>

                                                                                              Principal
BONDS AND NOTES--141.7%                                                                       Amount($)               Value ($)
- ------------------------------------------------------------------------------------------------------------------------------------
<S>                                                                                             <C>                     <C>

U.S. GOVERNMENT AGENCIES/

  MORTGAGE-BACKED SECURITIES--109.6%

Government National Mortgage Association I:

   6.5%, 10/15/2010-5/15/2011                                                                   240,109                  235,329

   7%, 1/15/2024-11/15/2024                                                                   1,254,525                1,220,619

   7.5%                                                                                         200,000  (a)             197,874

   7.5%, 12/15/2023                                                                             262,136                  259,515

   8%                                                                                        28,125,000  (a)          28,423,688

   8%, 4/15/2008-12/15/2022                                                                   6,881,839                6,971,655

   8.5%, 2/15/2005-3/15/2022                                                                    839,072                  870,206

   9%, 5/15/2016-11/15/2022                                                                     698,409                  739,296

   9.5%, 1/15/2017-12/15/2021                                                                   338,979                  364,926

                                                                                                                      39,283,108

Government National Mortgage Association I,

  Construction Loans,

   6.75%, 9/15/2036-10/15/2036                                                                6,505,500                5,909,840

Government National Mortgage Association I,

  Project Loans:

   6.32%, 10/15/2033                                                                          2,567,556                2,387,827

   6.375%, 10/15/2033-1/15/2034                                                               4,352,161                4,102,753

   6.4%, 10/15/2033                                                                           1,832,512                1,743,745

   6.41%, 8/15/2028                                                                             988,697                  942,040

   6.43%, 9/15/2033                                                                           1,485,985                1,391,253

   6.45%, 11/15/2033-3/15/2034                                                                5,497,046                5,205,675

   6.55%, 12/15/2033                                                                            698,429                  664,597

   6.6%, 5/15/2028                                                                            1,913,521                1,819,031

   6.625%, 8/15/2028-1/15/2034                                                               15,307,390  (b)          14,689,373

   6.7%, 3/15/2028                                                                              636,333                  619,827

   6.75%                                                                                        741,293  (a)             673,418

   6.75%, 12/15/2023                                                                          6,025,775  (b)           5,871,555

   7.125%, 1/15/2029                                                                          1,296,585                1,261,331

   7.25%, 4/15/2029-3/15/2034                                                                 4,718,908                4,708,789

                                                                                                                      46,081,214

Government National Mortgage Association II:

   5.5%                                                                                       3,250,000  (a,c)         3,182,953

   6%                                                                                         5,165,000  (a,c)         5,119,806

   7%                                                                                         5,790,000  (a)           5,594,588

   7%, 8/20/2028-9/20/2029                                                                    6,531,602                6,290,642

   7.5%                                                                                       5,000,000  (a)           4,946,850

   9%, 5/20/2016-7/20/2025                                                                      510,619                  530,811

   9.5%, 9/20/2021-12/20/2021                                                                   104,993                  111,661

                                                                                                                      25,777,311

                                                                                                     The Fund

                                                                                              Principal
BONDS AND NOTES (CONTINUED)                                                                   Amount($)                Value ($)
- ------------------------------------------------------------------------------------------------------------------------------------

U.S. GOVERNMENT AGENCIES/

  MORTGAGE-BACKED SECURITIES (CONTINUED)

Federal Home Loan Mortgage Corp.,

  Stripped Securities, Interest Only Class:

   Ser. 1541, Cl. FA, 7%, 5/15/2019                                                           4,904,658  (b,d)           496,155

   Ser. 1590, Cl. JA, 6.5%, 10/15/2021                                                        6,000,000  (b,d)           999,375

   Ser. 1596, Cl. L, 6.5%, 12/15/2012                                                         1,800,000  (b,d)           213,696

   Ser. 1916, Cl. PI, 7%, 12/15/2011                                                          1,094,946  (b,d)           239,596

   Ser. 1987, Cl. PI, 7%, 9/15/2012                                                           1,132,872  (b,d)           234,618

                                                                                                                       2,183,440

Federal Housing Administration,

  Project Loans:

   7.2%, 2/1/2033                                                                             1,113,651                1,032,911

   7.625%, 4/1/2031                                                                           1,232,021                1,174,655

                                                                                                                       2,207,566

Federal National Mortgage Association,

  Stripped Securities, Interest Only Class,

   Ser. 1997-74, Cl. PK, 7%, 11/18/2027                                                       4,000,000  (b,d)         1,513,750

TOTAL U.S. GOVERNMENT AGENCIES/

   MORTGAGE-BACKED SECURITIES                                                                                        122,956,229

ASSET-BACKED SECURITIES--3.4%

Nomura Depositor Trust:

   Ser. 1998-ST1, Cl. A-3, 7.043%, 2003                                                         500,000  (e,f)           496,563

   Ser. 1998-ST1, Cl. A-5, 7.713%, 2003                                                       3,500,000  (e,f)         3,331,563

TOTAL ASSET-BACKED SECURITIES                                                                                          3,828,126

COMMERCIAL MORTGAGE PASS-THROUGH CTFS.--11.0%

CS First Boston Mortgage Securities,

   Ser. 1998-C1, Cl. C, 6.78%, 2009                                                           1,000,000  (b)             932,985

Chase Commercial Mortgage Securities,

   Ser. 1998-SN1A, Cl. D, 7.291%, 2001                                                          750,000  (b,e,f),        747,891

Chase Manhattan Bank--First Union National

   Ser. 1999-1, Cl. B, 7.619%, 2009                                                           2,000,000                2,000,000

DLJ Commercial Mortgage,

   Ser. 1999-CG2, Cl. B-2, 7.607%, 2009                                                       3,300,000  (b,e,f)       2,947,313

GGP Ala Moana,

   Ser. 1999-C1, Cl. D, 7.569%, 2004                                                          2,500,000  (b,e,f)       2,500,000

Merrill Lynch Mortgage Investors,

   Ser. 1997-SD1, Cl. E, 7.5%, 2010                                                           3,500,000  (b,e,f)       3,208,984

TOTAL COMMERCIAL MORTGAGE PASS-THROUGH CTFS.                                                                          12,337,173

RESIDENTIAL MORTGAGE PASS-THROUGH CTFS.--14.2%

BA Mortgage Securities,

   Ser. 1998-2, Cl. 2B-2, 6.5%, 2013                                                            288,849  (b)             258,159


                                                                                               Principal
BONDS AND NOTES (CONTINUED)                                                                    Amount($)                Value ($)
- ------------------------------------------------------------------------------------------------------------------------------------

RESIDENTIAL MORTGAGE PASS-THROUGH CTFS. (CONTINUED)

Chase Mortgage Finance,

   Ser. 1998-S3, Cl. B-2, 6.5%, 2013                                                            632,813  (b)             586,185

GE Capital Mortgage Services,

   Ser. 1998-16, Cl. B-2, 6.5%, 2013                                                            591,708  (b)             512,490

Norwest Asset Securities:

   Ser. 1997-3, Cl. B-1, 7.25%, 2027                                                          2,429,290  (b)           2,342,783

   Ser. 1997-3, Cl. B-2, 7.25%, 2027                                                            971,716  (b)             930,554

   Ser. 1997-7, Cl. B-2, 7%, 2027                                                               777,708  (b)             717,187

   Ser. 1997-9, Cl. B-2, 7%, 2012                                                               425,153  (b)             399,988

   Ser. 1997-11, Cl. B-2, 7%, 2027                                                              514,426  (b)             459,475

   Ser. 1997-15, Cl. B-2, 6.75%, 2012                                                           617,674  (b)             570,119

   Ser. 1997-20, Cl. B-2, 6.75%, 2012                                                           389,448  (b)             355,180

   Ser. 1998-14, Cl. B-3, 6.5%, 2013                                                            584,933  (b)             509,015

   Ser. 1998-18, Cl. B-3, 6.25%, 2028                                                           862,710  (b)             745,623

PNC Mortgage Securities:

   Ser. 1997-8, Cl. 3B-3, 6.75%, 2012                                                           286,482  (b)             268,795

   Ser. 1998-2, Cl. 3B-3, 6.75%, 2013                                                           541,663  (b)             505,512

   Ser. 1998-2, Cl. 4B-3, 6.75%, 2027                                                           391,290  (b)             357,162

   Ser. 1998-11, Cl. 2B-3, 6.25%, 2013                                                          500,058  (b)             437,316

Residential Accredit Loans:

   Ser. 1997-QS6, Cl. M-2, 7.5%, 2012                                                           955,573  (b)             935,788

   Ser. 1997-QS6, Cl. M-3, 7.5%, 2012                                                           621,118  (b)             592,724

Residential Funding Mortgage Securities I:

   Ser. 1997-S10, Cl. M-3, 7%, 2012                                                             482,080  (b)             448,730

   Ser. 1997-S11, Cl. M-3, 7%, 2012                                                             698,873  (b)             673,276

   Ser. 1997-S19, Cl. M-3, 6.5%, 2012                                                           634,318  (b)             572,859

   Ser. 1997-S21, Cl. M-3, 6.5%, 2012                                                           366,122  (b)             323,729

   Ser. 1998-NS1, Cl. M-2, 6.375%, 2009                                                         141,008  (b)             134,105

   Ser. 1998-NS1, Cl. M-3, 6.375%, 2009                                                          70,504  (b)              66,397

   Ser. 1998-S9, Cl. M-3, 6.5%, 2013                                                            963,471  (b)             882,925

   Ser. 1998-S14, Cl. M-3, 6.5%, 2013                                                           804,731  (b)             752,235

   Ser. 1998-S16, Cl. M-3, 6.5%, 2013                                                           723,933  (b)             629,587

TOTAL RESIDENTIAL MORTGAGE PASS-THROUGH CTFS.                                                                         15,967,898

U.S. GOVERNMENTS--3.5%

U.S. Treasury Inflation Protection Securities,

   3.755%, 1/15/2008                                                                          4,000,000  (g)           3,968,160

TOTAL BONDS AND NOTES

   (cost $164,253,213)                                                                                               159,057,586

                                                                                                     The Fund

                                                                                              Principal
SHORT-TERM INVESTMENTS--.7%                                                                   Amount($)                Value ($)
- ------------------------------------------------------------------------------------------------------------------------------------

U.S. TREASURY BILLS:

   4.82%, 1/13/2000                                                                             350,000  (h)             349,549

   4.4075%, 3/30/2000                                                                           474,000  (h)             468,089

TOTAL SHORT-TERM INVESTMENTS

   (cost $817,524)                                                                                                       817,638
- ------------------------------------------------------------------------------------------------------------------------------------

TOTAL INVESTMENTS

   (cost $165,070,737)                                                                           142.4%              159,875,224

LIABILITIES, LESS CASH AND RECEIVABLES                                                          (42.4%)             (47,623,438)

NET ASSETS                                                                                       100.0%              112,251,786

     A    PURCHASED ON A FORWARD COMMITMENT BASIS.

     B    SECURITIES  HELD IN WHOLE OR IN PART BY THE  CUSTODIAN IN A SEGREGATED
          ACCOUNT AS COLLATERAL FOR SECURITIES PURCHASED ON A FORWARD COMMITMENT
          BASIS.

     C    ADJUSTABLE   RATE    MORTGAGE--INTEREST   RATE   SUBJECT   TO   CHANGE
          PERIODICALLY.

     D    REFLECTS NOTIONAL FACE.

     E    SECURITIES EXEMPT FROM REGISTRATION  UNDER RULE 144A OF THE SECURITIES
          ACT OF 1933.  THESE  SECURITIES MAY BE RESOLD IN  TRANSACTIONS  EXEMPT
          FROM  REGISTRATION,  NORMALLY TO QUALIFIED  INSTITUTIONAL  BUYERS.  AT
          DECEMBER 31,1999,  THESE SECURITIES AMOUNTED TO $13,232,314,  OR 11.8%
          OF NET ASSETS.

     F    VARIABLE RATE SECURITY--INTEREST RATE SUBJECT TO CHANGE PERIODICALLY.

     G    PRINCIPAL AMOUNT FOR ACCRUAL  PURPOSES IS PERIODICALLY  ADJUSTED BASED
          ON CHANGES TO THE CONSUMER PRICE INDEX.

     H    SECURITIES  HELD IN WHOLE OR IN PART BY THE  CUSTODIAN IN A SEGREGATED
          ACCOUNT AS COLLATERAL FOR OPEN FINANCIAL FUTURES POSITIONS.
</TABLE>

SEE NOTES TO FINANCIAL STATEMENTS.



STATEMENT OF FINANCIAL FUTURES

December 31, 1999

<TABLE>

                                                                   Market Value                                        Unrealized
                                                                        Covered                                      Appreciation
                                            Contracts          by Contracts ($)           Expiration              at 12/31/99 ($)
- ------------------------------------------------------------------------------------------------------------------------------------
<S>                                              <C>                 <C>                  <C>                             <C>

FINANCIAL FUTURES SHORT

U.S. Treasury 5 year Notes                        126                12,349,969          March 2000                       248,594

U.S. Treasury 10 year Notes                       189                18,117,422          March 2000                       117,523

                                                                                                                          366,117
</TABLE>


SEE NOTES TO FINANCIAL STATEMENTS.

                                                             The Fund


STATEMENT OF ASSETS AND LIABILITIES

December 31, 1999

                                                             Cost         Value
- --------------------------------------------------------------------------------

ASSETS ($):

Investments in securities--See Statement of
Investments                                           165,070,737    159,875,224

Cash                                                                     74,851

Interest receivable                                                   1,025,212

Receivable for futures variation margin--Note 4(a)                      116,156

Receivable for shares of Beneficial Interest subscribed                   2,323

Paydowns receivable                                                       1,055

Prepaid expenses                                                          1,583

                                                                    161,096,404
- --------------------------------------------------------------------------------

LIABILITIES ($):

Due to The Dreyfus Corporation and affiliates                            61,359

Payable for investment securities purchased                          48,590,957

Payable for shares of Beneficial Interest redeemed                      114,449

Accrued expenses                                                         77,853

                                                                     48,844,618
- --------------------------------------------------------------------------------

NET ASSETS ($)                                                      112,251,786
- --------------------------------------------------------------------------------

COMPOSITION OF NET ASSETS ($):

Paid-in capital                                                     117,685,300

Accumulated undistributed investment income--net                         21,922

Accumulated net realized gain (loss) on investments and financial futures
                                                                      (626,040)

Accumulated net unrealized appreciation (depreciation)

  on investments (including $366,117 net unrealized

   appreciation on financial futures)--Note 4(b)                    (4,829,396)
- --------------------------------------------------------------------------------

NET ASSETS ($)                                                     112,251,786
- --------------------------------------------------------------------------------

SHARES OUTSTANDING

(unlimited number of $.001 par value shares of Beneficial Interest authorized)
                                                                      7,799,592

NET ASSET VALUE, offering and redemption price per share ($)              14.39

SEE NOTES TO FINANCIAL STATEMENTS.



STATEMENT OF OPERATIONS

Year Ended December 31, 1999

- --------------------------------------------------------------------------------

INVESTMENT INCOME ($):

INTEREST INCOME                                                      8,698,405

EXPENSES:

Management fee--Note 3(a)                                              644,927

Interest expense--Note 5                                               969,816

Shareholder servicing costs--Note 3(b)                                 236,905

Professional fees                                                       56,136

Trustees' fees and expenses--Note 3(c)                                  36,082

Registration fees                                                       30,725

Custodian fees--Note 3(b)                                               27,454

Prospectus and shareholders' reports                                    20,186

Loan commitment fees--Note 2                                                96

Miscellaneous                                                           10,451

TOTAL EXPENSES                                                       2,032,778

Less--reduction in management fee due to

   undertaking--Note 3(a)                                             (364,195)

NET EXPENSES                                                          1,668,583

INVESTMENT INCOME--NET                                                7,029,822
- --------------------------------------------------------------------------------

REALIZED AND UNREALIZED GAIN (LOSS) ON INVESTMENTS--NOTE 4 ($):

Net realized gain (loss) on investments                            (1,795,524)

Net realized gain (loss) on financial futures                        2,312,839

NET REALIZED GAIN (LOSS)                                               517,315

Net unrealized appreciation (depreciation) on investments

   (including $213,886) net unrealized appreciation
   on financial futures)                                            (4,354,884)

NET REALIZED AND UNREALIZED GAIN (LOSS) ON INVESTMENTS              (3,837,569)

NET INCREASE IN NET ASSETS RESULTING FROM OPERATIONS                 3,192,253

SEE NOTES TO FINANCIAL STATEMENTS.

                                                             The Fund


STATEMENT OF CASH FLOWS

Year Ended December 31, 1999

- --------------------------------------------------------------------------------

CASH FLOWS FROM OPERATING ACTIVITIES ($):

Dividends and interest received                      8,677,349

Interest and loan commitment fees paid               (986,979)

Operating expenses paid                              (668,673)       7,021,697
- --------------------------------------------------------------------------------

CASH FLOWS FROM INVESTING ACTIVITIES ($):

Purchases of portfolio securities                (560,231,879)

Proceeds from sales of portfolio securities        555,818,861

Purchases of short term investments-net              (477,569)

Net cash flows from futures transactions             2,410,269      (2,480,318)
- --------------------------------------------------------------------------------

CASH FLOWS FROM FINANCING ACTIVITIES ($):

Proceeds from fund shares sold                      47,964,551

Payments for fund shares redeemed                 (33,735,435)

Cash dividends paid                                (1,983,784)

Net repayments of reverse repurchase agreements   (16,958,000)     (4,712,668)

   Decrease in cash                                                  (171,289)

   Cash at beginning of period                                        246,140

   Cash at end of period                                               74,851
- --------------------------------------------------------------------------------

RECONCILIATION OF NET INCREASE IN NET ASSETS
   RESULTING FROM OPERATIONS TO NET CASH
   PROVIDED BY OPERATING ACTIVITIES ($):

Net Increase in Net Assets Resulting from Operations                3,192,253

Adjustments to reconcile net increase in net assets resulting
   from operations to net cash provided by operating activities:

   Increase in dividends and interest receivable                     (15,753)

   Decrease in paydowns receivable                                    35,808

   Decrease in interest payable                                      (17,163)

   Increase in accrued expenses                                        6,710

   Decrease in prepaid expenses                                        6,146

   Increase in due from The Dreyfus Corporation and affiliates        17,238

   Net amortization of discount on investments                       (41,111)

   Net realized gain on investments                                 (517,315)

   Net unrealized depreciation on investments                       4,354,884
- --------------------------------------------------------------------------------

Net Cash Provided by Operating Activities                           7,021,697

SEE NOTES TO FINANCIAL STATEMENTS.



STATEMENT OF CHANGES IN NET ASSETS

                                                      Year Ended December 31,
                                                   -----------------------------
                                                     1999               1998
- --------------------------------------------------------------------------------

OPERATIONS ($):

Investment income--net                          7,029,822            5,555,447

Net realized gain (loss) on investments           517,315            (507,112)

Net unrealized appreciation (depreciation)
   on investments                             (4,354,884)          (1,328,489)

NET INCREASE (DECREASE) IN NET ASSETS
   RESULTING FROM OPERATIONS                   3,192,253            3,719,846
- --------------------------------------------------------------------------------

DIVIDENDS TO SHAREHOLDERS ($):

From investment income--net                   (7,019,327)          (5,545,920)

From net realized gain on investments           (469,048)            (291,592)

In excess of net realized gain on investments   (170,796)                 --

TOTAL DIVIDENDS                               (7,659,171)          (5,837,512)
- --------------------------------------------------------------------------------

BENEFICIAL INTEREST TRANSACTIONS ($):

Net proceeds from shares sold                  47,925,201          43,371,763

Dividends reinvested                            5,675,387           4,345,234

Cost of shares redeemed                      (33,728,168)         (24,682,862)

INCREASE (DECREASE) IN NET ASSETS FROM
   BENEFICIAL INTEREST TRANSACTIONS           19,872,420           23,034,135

TOTAL INCREASE (DECREASE) IN NET ASSETS       15,405,502           20,916,469
- --------------------------------------------------------------------------------

NET ASSETS ($):

Beginning of Period                            96,846,284           75,929,815

END OF PERIOD                                 112,251,786           96,846,284

Undistributed investment income-net                21,922               11,427
- --------------------------------------------------------------------------------

CAPITAL SHARE TRANSACTIONS (SHARES):

Shares sold                                     3,250,861            2,827,468

Shares issued for dividends reinvested            387,227              283,676

Shares redeemed                               (2,292,435)          (1,611,860)

NET INCREASE (DECREASE) IN SHARES OUTSTANDING   1,345,653            1,499,284

SEE NOTES TO FINANCIAL STATEMENTS.

                                                             The Fund


FINANCIAL HIGHLIGHTS

The  following table describes the performance for the fiscal periods indicated.
Total return shows how much your investment in the fund would have increased (or
decreased)  during  each  period,  assuming you had reinvested all dividends and
distributions.  These  figures  have  been  derived  from  the  fund's financial
statements.

<TABLE>

                                                                                         Year Ended December 31,
                                                                 -------------------------------------------------------------------
                                                                 1999          1998           1997          1996          1995
- ------------------------------------------------------------------------------------------------------------------------------------
<S>                                                             <C>            <C>           <C>            <C>            <C>

PER SHARE DATA ($):

Net asset value, beginning of period                            15.01         15.32          15.14          15.42         14.16

Investment Operations:

Investment income--net                                            .96           .97            .99            .98          1.03

Net realized and unrealized

   gain (loss) on investments                                    (.54)         (.26)           .41           (.27)          1.25

Total from Investment Operations                                  .42           .71           1.40            .71           2.28

Distributions:

Dividends from investment income--net                            (.96)         (.97)          (.99)          (.99)         (1.02)

Dividends from net realized gain
   on investments                                                (.06)         (.05)          (.23)            --            --

Dividends in excess of net realized
   gain on investments                                           (.02)          --             --              --            --

Total Distributions                                             (1.04)        (1.02)         (1.22)          (.99)         (1.02)

Net asset value, end of period                                  14.39         15.01          15.32          15.14          15.42
- ------------------------------------------------------------------------------------------------------------------------------------

TOTAL RETURN (%)                                                 2.82          4.71           9.55           4.81          16.62
- ------------------------------------------------------------------------------------------------------------------------------------

RATIOS/SUPPLEMENTAL DATA (%):

Ratio of operating expenses to
   average net assets                                             .65           .65            .65            .65            .50

Ratio of interest expense and loan
   commitment fees to average net assets                          .90           .17             --             --            --

Ratio of net investment income

   to average net assets                                         6.54          6.34           6.46           6.50           6.86

Decrease reflected in above expense ratios

   due to undertakings by
   The Dreyfus Corporation                                        .34           .39            .42            .52            .78

Portfolio Turnover Rate                                        366.43        388.97         534.25         332.96         254.36
- ------------------------------------------------------------------------------------------------------------------------------------

Net Assets, end of period ($ x 1,000)                         112,252        96,846         75,930         57,665         55,615
</TABLE>

SEE NOTES TO FINANCIAL STATEMENTS.




NOTES TO FINANCIAL STATEMENTS

NOTE 1--Significant Accounting Policies:

Dreyfus  BASIC GNMA Fund (the "fund") is registered under the Investment Company
Act  of  1940,  as  amended  (  the "Act"), as a diversified open-end management
investment company. The fund's investment objective is to provide investors with
as  high  a  level  of  current income as is consistent with the preservation of
capital  by  investing  principally  in  instruments  issued  by  the Government
National Mortgage Association. The Dreyfus Corporation (the "Manager") serves as
the  fund' s  investment  adviser.  The Manager is a direct subsidiary of Mellon
Bank,  N.A.  (" Mellon"), which is a wholly-owned subsidiary of Mellon Financial
Corporation. Premier Mutual Fund Services, Inc. is the distributor of the fund's
shares, which are sold to the public without a sales charge.

The  fund' s  financial  statements  are  prepared  in accordance with generally
accepted accounting principles which may require the use of management estimates
and assumptions. Actual results could differ from those estimates.

(a)   Portfolio  valuation:  Investments  in  securities  (excluding  short-term
investments  other  than  U.S.  Treasury Bills and financial futures) are valued
each  business day by an independent pricing service ("Service") approved by the
Board of Trustees. Investments for which quoted bid prices are readily available
and  are  representative  of  the  bid side of the market in the judgment of the
Service are valued at the mean between the quoted bid prices (as obtained by the
Service  from dealers in such securities) and asked prices (as calculated by the
Service  based  upon  its  evaluation  of the market for such securities). Other
investments  (which  constitute  a  majority  of  the  portfolio securities) are
carried  at  fair  value  as  determined  by the Service, based on methods which
include  consideration of: yields or prices of securities of comparable quality,
coupon,  maturity  and  type; indications as to values from dealers; and general
market  conditions.  Short-term  investments, excluding U.S. Treasury Bills, are
carried  at  amortized  cost,  which  approximates  value. Financial futures are
valued at the last sales
                                                                        The Fund

NOTES TO FINANCIAL STATEMENTS (CONTINUED)

price  on  the securities exchange on which such securities are primarily traded
or  at  the  last sales price on the national securities market on each business
day.

(b)  Securities  transactions and investment income: Securities transactions are
recorded  on  a  trade  date  basis.  Realized  gain  and  loss  from securities
transactions  are  recorded  on  the  identified  cost  basis.  Interest  income
(including,   where   applicable,   amortization   of   discount  on  short-term
investments)  is recognized on the accrual basis. Under the terms of the custody
agreement, the fund received net earnings credits of $72 during the period ended
December  31,  1999  based  on  available  cash balances left on deposit. Income
earned under this arrangement is included in interest income.

The  fund  may  enter  into  repurchase  agreements with financial institutions,
deemed  to  be  creditworthy  by  the  fund' s  Manager, subject to the seller's
agreement  to repurchase and the fund's agreement to resell such securities at a
mutually   agreed   upon  price.  Securities  purchased  subject  to  repurchase
agreements are deposited with the fund's custodian and, pursuant to the terms of
the  repurchase  agreement,  must have an aggregate market value greater than or
equal  to  the repurchase price plus accrued interest at all times. If the value
of  the underlying securities falls below the value of the repurchase price plus
accrued  interest,  the  fund  will  require  the  seller  to deposit additional
collateral by the next business day. If the request for additional collateral is
not met, or the seller defaults on its repurchase obligation, the fund maintains
the  right  to  sell the underlying securities at market value and may claim any
resulting loss against the seller.

(c) Dividends to shareholders: It is the policy of the fund to declare dividends
daily  from  investment  income-net.  Such dividends are paid monthly. Dividends
from  net realized capital gain are normally declared and paid annually, but the
fund  may  make  distributions  on  a  more  frequent  basis  to comply with the
distribution  requirements of the Internal Revenue Code of 1986, as amended (the
" Code" ). To the extent that net realized capital gain can be offset by capital
loss  carryovers,  if  any,  it is the policy of the fund not to distribute such
gain.


(d) Federal income taxes: It is the policy of the fund to continue to qualify as
a  regulated  investment company, if such qualification is in the best interests
of  its  shareholders,  by complying with the applicable provisions of the Code,
and  to  make  distributions  of  taxable  income  sufficient to relieve it from
substantially all Federal income and excise taxes.

NOTE 2--Bank Line of Credit:

The  fund  participates  with  other  Dreyfus-managed  funds  in  a $500 million
redemption  credit  facility  (" the  Facility") to be utilized for temporary or
emergency  purposes,  including  the  financing  of  redemptions.  In connection
therewith, the fund has agreed to pay commitment fees on its pro rata portion of
the  Facility.  Interest  is  charged  to  the fund at rates based on prevailing
market  rates  in  effect  at  the  time  of borrowings. During the period ended
December 31, 1999, the fund did not borrow under the Facility.

NOTE 3--Management Fee and Other Transactions With Affiliates:

(a)  Pursuant  to  a  management  agreement  ("Agreement") with the Manager, the
management  fee  is computed at the annual rate of .60 of 1% of the value of the
fund' s  average  daily  net  assets  and  is  payable  monthly. The Manager had
undertaken until such time as they give shareholders at least 90 days' notice to
the  contrary,  if  the  aggregate  expenses  of  the  fund, exclusive of taxes,
brokerage,  interest  on borrowings, commitment fees and extraordinary expenses,
but  including  the  management  fee,  exceed an annual rate of .65 of 1% of the
value  of  the  fund' s  average  daily net assets, the fund may deduct from the
payments  to  be  made  to  the  Manager  under the Management Agreement, or the
Manager will bear, such excess expense. The expense reduction in management fee,
pursuant  to  the  undertaking,  amounted  to  $364,195  during the period ended
December 31, 1999.

The undertaking may be extended, modified or terminated by the Manager, provided
that  the  resulting  expense  reimbursement  would  not be less than the amount
required pursuant to the Agreement.

                                                             The Fund

NOTES TO FINANCIAL STATEMENTS (CONTINUED)

(b)  Under  the  Shareholder  Services Plan, the fund reimburses Dreyfus Service
Corporation,  a  wholly-owned subsidiary of the Manager, an amount not to exceed
an  annual rate of .25 of 1% of the value of the fund's average daily net assets
for certain allocated expenses of providing personal services and/or maintaining
shareholder  accounts.  The  services  provided  may  include  personal services
relating  to  shareholder  accounts,  such  as  answering  shareholder inquiries
regarding  the  fund  and  providing reports and other information, and services
related  to  the  maintenance  of  shareholder accounts. During the period ended
December  31,  1999,  the  fund was charged $142,532 pursuant to the Shareholder
Services Plan.

The  fund  compensates  Dreyfus Transfer, Inc., a wholly-owned subsidiary of the
Manager,   under  a  transfer  agency  agreement  for  providing  personnel  and
facilities  to  perform transfer agency services for the fund. During the period
ended  December  31, 1999, the fund was charged $71,659 pursuant to the transfer
agency agreement.

The  fund  compensates  Mellon under a custody agreement for providing custodial
services  for  the fund. During the period ended December 31, 1999, the fund was
charged $27,454 pursuant to the custody agreement.

(c)  Each  trustee  who  is  not  an  "affiliated  person" as defined in the Act
receives from the fund an annual fee of $2,500 and an attendance fee of $250 per
meeting.  The  Chairman  of  the  Board  receives  an  additional  25%  of  such
compensation.

NOTE 4--Securities Transactions:

(a)  The  aggregate  amount  of  purchases  and  sales  (including  paydowns) of
investment  securities,  excluding  short-term securities and financial futures,
during  the  period  ended  December  31,  1999,  amounted  to  $565,070,728 and
$555,729,553, respectively.

The fund may invest in financial  futures contracts in order to gain exposure to
or protect against changes in the market.  The fund is exposed to market risk as
a result of changes in the value of the under lying instruments.  Investments in
financial  futures  require the fund to "mark to market" on a daily basis;  this
represents  the change in the market  value of the contract at the close of each
day's trading.  Accordingly,  variation  margin payments are received or made to
reflect daily  unrealized  gains or losses.  When the contracts are closed,  the
fund  recognizes a realized  gain or loss.  These  investments  require  initial
margin deposits with a custodian, which consist of cash or cash equivalents,  up
to  approximately  10% of the contract  amount.  The amount of these deposits is
determined by the exchange or Board of Trade on which the contract is traded and
is subject to change.  Contracts open at December 31, 1999, are set forth in the
Statement of Financial Futures.

The  fund  may  purchase or sell securities on a when-issued basis. The price of
the underlying securities is fixed at the time the transaction is negotiated and
settlement  may  take  place  a  month  or more after that date. With respect to
purchase  commitments,  the  fund  will identify securities as segregated in its
records with a value at least equal to the amount of its commitments. Losses may
arise  due  to  changes in the market value of the underlying securities, if the
counter-party  does  not  meet  the terms of the settlement agreement, or if the
issuer  does  not  issue  the  securities  due  to political, economic, or other
factors.

(b) At December 31, 1999, accumulated net unrealized depreciation on investments
and  financial  futures  was $4,829,396, consisting of $667,604 gross unrealized
appreciation and $5,497,000 gross unrealized depreciation.

At  December  31,  1999, the cost of investments for Federal income tax purposes
was substantially the same as the cost for financial reporting purposes (see the
Statement of Investments).

NOTE 5-Reverse Repurchase Agreements:

The  fund  may  enter  into reverse repurchase agreements with banks, brokers or
dealers.  This  form  of  borrowing  involves  the  transfer  by  the fund of an
underlying debt instrument in return for cash proceeds
                                                                       The  Fund

NOTES TO FINANCIAL STATEMENTS (CONTINUED)

based  on  a  percentage of value of the security. The fund retains the right to
receive  interest  and  principal  payments  on  the security. At an agreed upon
future  date,  the  fund  repurchases  the  security  at  principal plus accrued
interest.  Reverse  repurchase  agreements may subject the fund to interest rate
risk and counter party credit risk.

The  average  daily amount outstanding during the period ended December 31, 1999
was  approximately  $18,675,351,  with  a  related  weighted  average annualized
interest rate of 5.19%.


REPORT OF INDEPENDENT AUDITORS

Shareholders and Board of Trustees

Dreyfus BASIC GNMA Fund

We  have audited the accompanying statement of assets and liabilities of Dreyfus
BASIC  GNMA Fund, including the statements of investments and financial futures,
as of December 31, 1999, and the related statements of operations and cash flows
for  the year then ended, the statement of changes in net assets for each of the
two  years  in  the  period then ended, and financial highlights for each of the
years indicated therein. These financial statements and financial highlights are
the responsibility of the Fund's management. Our responsibility is to express an
opinion  on  these  financial  statements  and financial highlights based on our
audits.

We conducted our audits in accordance with auditing standards generally accepted
in the United States. Those standards require that we plan and perform the audit
to  obtain  reasonable  assurance  about  whether  the  financial statements and
financial  highlights  are  free  of  material  misstatement.  An audit includes
examining,  on  a test basis, evidence supporting the amounts and disclosures in
the  financial  statements  and  financial  highlights.  Our procedures included
verification  by  examination of securities held by the custodian as of December
31,   1999  and  confirmation  of  securities  not  held  by  the  custodian  by
correspondence  with  others.  An  audit  also includes assessing the accounting
principles  used  and  significant  estimates  made  by  management,  as well as
evaluating  the  overall  financial  statement presentation. We believe that our
audits provide a reasonable basis for our opinion.

In  our  opinion,  the financial statements and financial highlights referred to
above  present  fairly,  in  all  material  respects,  the financial position of
Dreyfus  BASIC GNMA Fund at December 31, 1999, the results of its operations and
its  cash  flows for the year then ended, the changes in its net assets for each
of the two years in the period then ended, and the financial highlights for each
of  the  indicated  years,  in  conformity  with accounting principles generally
accepted in the United States.

                                            [Ernst and Young LLP Signature logo]

New York, New York

February 14, 2000


                                                             The Fund


IMPORTANT TAX INFORMATION (Unaudited)

For  Federal  tax  purposes,  the  fund  hereby designates $.0810 per share as a
long-term capital gain distribution paid on November 30, 1999.



                        For More Information

                        Dreyfus BASIC GNMA Fund
                        200 Park Avenue
                        New York, NY 10166

                        Manager

                        The Dreyfus Corporation
                        200 Park Avenue
                        New York, NY 10166

                        Custodian

                        Mellon Bank, N.A.
                        One Mellon Bank Center
                        Pittsburgh, PA 15258

                        Transfer Agent &
                        Dividend Disbursing Agent

                        Dreyfus Transfer, Inc.
                        P.O. Box 9671
                        Providence, RI 02940

                        Distributor

                        Premier Mutual Fund Services, Inc.
                        60 State Street
                        Boston, MA 02109

To obtain information:

BY TELEPHONE
Call 1-800-645-6561

BY MAIL  Write to:
The Dreyfus Family of Funds
144 Glenn Curtiss Boulevard
Uniondale, NY 11556-0144

BY E-MAIL  Send your request
to [email protected]

ON THE INTERNET  Information can be viewed online or downloaded from:

http://www.dreyfus.com

(c) 2000 Dreyfus Service Corporation                                  080AR9912





COMPARISON OF CHANGE IN VALUE OF $10,000
INVESTMENT IN DREYFUS BASIC GNMA FUND AND
THE LEHMAN BROTHERS GNMA INDEX

EXHIBIT A:


                  LEHMAN BROTHERS
 PERIOD                GNMA          DREYFUS BASIC
                      INDEX *          GNMA FUND

12/31/89               10,000          10,000
12/31/90               11,058          10,858
12/31/91               12,832          12,300
12/31/92               13,782          13,163
12/31/93               14,689          14,315
12/31/94               14,468          14,174
12/31/95               16,935          16,529
12/31/96               17,872          17,325
12/31/97               19,576          18,978
12/31/98               20,932          19,871
12/31/99               21,335          20,432


*Source: Lehman Brothers Inc.



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